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3628014289 = 292312672
BaseRepresentation
bin1101100000111111…
…0001101011010001
3100100211202012222121
43120033301223101
524412232424124
61400000534241
7155622420064
oct33017615321
910324665877
103628014289
1115a1a12919
12853021381
1345a83b323
14265ba28db
151637972e4
hexd83f1ad1

3628014289 has 27 divisors (see below), whose sum is σ = 3941362971. Its totient is φ = 3339317520.

The previous prime is 3628014287. The next prime is 3628014293. The reversal of 3628014289 is 9824108263.

3628014289 = T270 + T271 + ... + T2792.

The square root of 3628014289 is 60233.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1902442689 + 1725571600 = 43617^2 + 41540^2 .

It is not a de Polignac number, because 3628014289 - 21 = 3628014287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3628014281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54149434 + ... + 54149500.

Almost surely, 23628014289 is an apocalyptic number.

3628014289 is the 60233-rd square number.

3628014289 is the 30117-th centered octagonal number.

It is an amenable number.

3628014289 is a deficient number, since it is larger than the sum of its proper divisors (313348682).

3628014289 is an frugal number, since it uses more digits than its factorization.

3628014289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The cubic root of 3628014289 is about 1536.5840811239.

The spelling of 3628014289 in words is "three billion, six hundred twenty-eight million, fourteen thousand, two hundred eighty-nine".

Divisors: 1 29 31 67 841 899 961 1943 2077 4489 26071 27869 56347 60233 64387 130181 139159 808201 1746757 1867223 3775249 4035611 4313929 54149467 117032719 125103941 3628014289